The formula for calculating the energies of an electron in a hydrogen-like ion is given in Problem

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The formula for calculating the energies of an electron in a hydrogen-like ion is given in Problem 8.57. This equation cannot be applied to many-electron atoms. One way to modify it for the more complex atoms is to replace Z with (Z - σ), where Z is the atomic number and s is a positive dimensionless quantity called the shielding constant. Consider the helium atom as an example. The physical significance of σ is that it represents the extent of shielding that the two 1s electrons exert on each other. Thus, the quantity (Z - σ) is appropriately called the "effective nuclear charge." Calculate the value of σ if the first ionization energy of helium is 3.94 × 10-18 J per atom. (Ignore the minus sign in the given equation in your calculation.)
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Chemistry

ISBN: 978-0077274313

10th edition

Authors: Raymond Chang

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